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Finding the Fourth Proportional to 717,584,644.80, 1,005,298,747.20 and 717,584,644.80

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Solution

The fourth proportional to 717,584,644.80, 1,005,298,747.20 and 717,584,644.80 is: 1,005,298,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,584,644.80 : 1,005,298,747.20 = 717,584,644.80 : x
  2. Step 2: Convert to fraction form
    717,584,644.80/1,005,298,747.20 = 717,584,644.80/x
  3. Step 3: Cross multiply
    717,584,644.80x = 1,005,298,747.20 × 717,584,644.80
  4. Step 4: Simplify right side
    717,584,644.80x = 721,386,944,427,396,992
  5. Step 5: Solve for x
    x = 721,386,944,427,396,992/717,584,644.80
  6. Step 6: Final answer
    x = 1,005,298,747.20

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.